| Paper | Title | Page |
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| WEPD044 | Modelling Synchrotron Radiation from Realistic and Ideal Long Undulator Systems | 3189 |
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An analytic description of the synchrotron radiation from electrons with short-period helical trajectories is given by the Kincaid equation. A new code is under development which generates an analytical description of an arbitrary magnetic field, including non-linear and higher-order multipole (fringe field) components. The magnetic field map of a short-period undulator was modelled, using a 3-d finite element solver, and it's analytical field description has been used to compare the synchrotron radiation output from electrons with a 'realistic' trajectory in terms of the ideal analytic equations. The results demonstrate how small numerical inaccuracies in the particle tracking can lead to large inaccuracies in the calculated synchrotron output. The affects of the higher order field modes are studied which give additional insights into the radiation output from long undulator systems. |
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| WEPD045 | The Rapid Calculation of Synchrotron Radiation Output from Long Undulator Systems | 3192 |
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Recent designs for third generation light sources commonly call for undulator systems with a total length of several hundreds of metres. Calculating the synchrotron output from bunches of charged particles traversing such a system using numerical techniques takes an unfeasibly long time even on modern multi-node computer clusters. Analytical formulae (i.e. the Kincaid Equation) provide a more rapid solution for an idealised system but necessarily fail to produce the non-ideal response which is under investigation. A new code is described which generates an analytic description of an arbitrary magnetic field and uses differential algebra and Lie methods to describe the particle dynamics in terms of series of transfer maps. The synchrotron output can then be calculated using arbitrarily large step size with no loss of accuracy in the trajectory. The code is easily adapted to perform parallel calculations on multi-core machines. Examples of the radiation output from several long magnet systems are described and the performance is assessed. |